Lower norm error estimates for approximate solutions of differential equations with non-smooth coefficients

U. Banerjee

doi:10.1007/BF01400117

Lower norm error estimates for approximate solutions of differential equations with non-smooth coefficients

U. Banerjee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we derive error estimates in L_p-norm, 1≦p≦∞, for the ℒ₂-Finite Element approximation to solutions of boundary value problems, where the coefficients are functions of bounded variation. The ℒ₂-Finite Element Method was introduced in [3] and was shown to be effective for problems with non-smooth coefficient.

Original language	English (US)
Pages (from-to)	303-321
Number of pages	19
Journal	Numerische Mathematik
Volume	51
Issue number	3
DOIs	https://doi.org/10.1007/BF01400117
State	Published - May 1987

Keywords

Subject Classifications: AMS(MOS):65N30, CR:G1.8

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/BF01400117

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abstract = "In this paper, we derive error estimates in Lp-norm, 1≦p≦∞, for the ℒ2-Finite Element approximation to solutions of boundary value problems, where the coefficients are functions of bounded variation. The ℒ2-Finite Element Method was introduced in [3] and was shown to be effective for problems with non-smooth coefficient.",

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AB - In this paper, we derive error estimates in Lp-norm, 1≦p≦∞, for the ℒ2-Finite Element approximation to solutions of boundary value problems, where the coefficients are functions of bounded variation. The ℒ2-Finite Element Method was introduced in [3] and was shown to be effective for problems with non-smooth coefficient.

KW - Subject Classifications: AMS(MOS):65N30, CR:G1.8

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Lower norm error estimates for approximate solutions of differential equations with non-smooth coefficients

Abstract

Keywords

ASJC Scopus subject areas

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